Question

Matt works 8 hours per day at a theater. He spends 1.25 hours selling tickets, 3.5 hours working the concession stand, and 3.25 hours cleaning the theater. Based on this information, how many hours will Matt spend cleaning the theater and working in the concession stand in 6 days of work

Answer 1

The total time Matt will spend cleaning the theater and working in the concession stand in 6 days of work is 40.5 Hours.

Given the data in the question;

• Time spent selling tickets; $t_t = 1.25hrs$

• Time spent working on concession stand; $t_{cs}= 3.5hrs$

• Time spent cleaning the theater; $t_{ct} = 3.25hrs$

• Total time spent working in a day; $t_{total} = 1.25hrs + 3.5hrs + 3.25hrs = 8hrs$

Word problem

Word problem is simply a mathematical exercise where important background details on a particular problem is given in ordinary language rather than in mathematical equations.

Now, to determine how many hours Matt will spend cleaning the theater and working in the concession stand in 6 days of work, we first calculate how many hours he spent cleaning the theater and working in the concession stand for a single day.

In a single day;

Time spent cleaning the theater; $t_{ct} = 3.25hrs$

Time spent working on concession stand; $t_{cs}= 3.5hrs$

Hence

Total time spent cleaning the theater and working on concession stand for a single day is;

$t_{1} = t_{ct} + t_{cs} \\ \\ t_{1} = 3.25hrs + 3.5hrs\\\\t_{1} = 6.75hrs$

For 6 days of works;

$t_{6} = 6 * t_{1}\\\\t_{6} = 6 * 6.75hrs\\\\t_{6} = 40.5hrs$

Therefore, the total time Matt will spend cleaning the theater and working in the concession stand in 6 days of work is 40.5 Hours.

Learn more about some word problems:  https://brainly.com/question/916913